- #1
JohanL
- 158
- 0
prove that for any vector
[tex]A_i[/tex]
the expression
[tex]A_{i.j}-A_{j.i}[/tex]
is a tensor, even under non-linear transformations. Similarly prove that for any antisymmetric tensor
[tex]E_{ij}[/tex]
the expression
[tex]E_{ij.k}+E_{jk.i}+E_{ki.j}[/tex]
is a tensor.
____________________________
What does the dots mean?
For example between i and j in i.j ?
[tex]A_i[/tex]
the expression
[tex]A_{i.j}-A_{j.i}[/tex]
is a tensor, even under non-linear transformations. Similarly prove that for any antisymmetric tensor
[tex]E_{ij}[/tex]
the expression
[tex]E_{ij.k}+E_{jk.i}+E_{ki.j}[/tex]
is a tensor.
____________________________
What does the dots mean?
For example between i and j in i.j ?
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